CONSTRUCTION OF CLASS FIELDS OVER IMAGINARY QUADRATIC FIELDS USING y-COORDINATES OF ELLIPTIC CURVES

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By a change of variables we obtain new y-coordinates of elliptic curves. Utilizing these y-coordinates as meromorphic modular functions, together with the elliptic modular function, we generate the fields of meromorphic modular functions. Furthermore, by means of the special values of the y-coordinates, we construct the ray class fields over imaginary quadratic fields as well as normal bases of these ray class fields.
Publisher
KOREAN MATHEMATICAL SOC
Issue Date
2013-07
Language
English
Article Type
Article
Keywords

SINGULAR MODULI

Citation

JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, v.50, no.4, pp.847 - 864

ISSN
0304-9914
DOI
10.4134/JKMS.2013.50.4.847
URI
http://hdl.handle.net/10203/175497
Appears in Collection
MA-Journal Papers(저널논문)
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